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Atlas › Integer Profiles › Node 3,758,652

3,758,652

22 × 32 × 131 × 797
Abundant Even Composite

3,758,652 factors as 2^2 × 3^2 × 131 × 797. Its 36 positive divisors give a proper-divisor sum of 5,826,924, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 131 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,585,576
Proper Divisor Sum 5,826,924
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3758639 ← → #3758659

Radix Representation

Decimal 3758652
Binary 1110010101101000111100 (22 bits)
Octal 0o16255074
Hexadecimal 0x395A3C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 131 262 393 524 786 797 1,179 1,572 1,594 2,358 2,391 3,188 4,716 4,782 7,173 9,564 14,346 28,692 104,407 208,814 313,221 417,628 626,442 939,663 1,252,884 1,879,326 3,758,652

Collatz Trajectory (110 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,758,652 1,879,326 939,663 2,818,990 1,409,495 4,228,486 2,114,243 6,342,730 3,171,365 9,514,096 4,757,048 2,378,524 1,189,262 594,631 1,783,894 891,947 2,675,842 1,337,921 4,013,764 2,006,882 1,003,441 3,010,324 1,505,162 752,581 2,257,744 1,128,872 564,436 282,218 141,109 423,328 211,664 105,832 52,916 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854

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